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Finding the Third Proportional to 101,017.13 and 158,466.38

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Solution

The third proportional to 101,017.13 and 158,466.38 is: 248,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,017.13 : 158,466.38 = 158,466.38 : x
  2. Step 2: Convert to fraction form
    101,017.13/158,466.38 = 158,466.38/x
  3. Step 3: Cross multiply
    101,017.13x = 158,466.38 × 158,466.38
  4. Step 4: Simplify right side
    101,017.13x = 25,111,592,005.64
  5. Step 5: Solve for x
    x = 25,111,592,005.64/101,017.13
  6. Step 6: Final answer
    x = 248,587.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.