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Finding the Third Proportional to 101,567.25 and 157,188.38

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Solution

The third proportional to 101,567.25 and 157,188.38 is: 243,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,567.25 : 157,188.38 = 157,188.38 : x
  2. Step 2: Convert to fraction form
    101,567.25/157,188.38 = 157,188.38/x
  3. Step 3: Cross multiply
    101,567.25x = 157,188.38 × 157,188.38
  4. Step 4: Simplify right side
    101,567.25x = 24,708,185,235.14
  5. Step 5: Solve for x
    x = 24,708,185,235.14/101,567.25
  6. Step 6: Final answer
    x = 243,269.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.