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Finding the Third Proportional to 142,702.88 and 187,688.81

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Solution

The third proportional to 142,702.88 and 187,688.81 is: 246,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,702.88 : 187,688.81 = 187,688.81 : x
  2. Step 2: Convert to fraction form
    142,702.88/187,688.81 = 187,688.81/x
  3. Step 3: Cross multiply
    142,702.88x = 187,688.81 × 187,688.81
  4. Step 4: Simplify right side
    142,702.88x = 35,227,090,337.66
  5. Step 5: Solve for x
    x = 35,227,090,337.66/142,702.88
  6. Step 6: Final answer
    x = 246,856.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.