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Finding the Third Proportional to 64,017 and 101,344.50

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Solution

The third proportional to 64,017 and 101,344.50 is: 160,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017 : 101,344.50 = 101,344.50 : x
  2. Step 2: Convert to fraction form
    64,017/101,344.50 = 101,344.50/x
  3. Step 3: Cross multiply
    64,017x = 101,344.50 × 101,344.50
  4. Step 4: Simplify right side
    64,017x = 10,270,707,680.25
  5. Step 5: Solve for x
    x = 10,270,707,680.25/64,017
  6. Step 6: Final answer
    x = 160,437.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.