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Finding the Third Proportional to 87,315 and 142,728

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Solution

The third proportional to 87,315 and 142,728 is: 233,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,315 : 142,728 = 142,728 : x
  2. Step 2: Convert to fraction form
    87,315/142,728 = 142,728/x
  3. Step 3: Cross multiply
    87,315x = 142,728 × 142,728
  4. Step 4: Simplify right side
    87,315x = 20,371,281,984
  5. Step 5: Solve for x
    x = 20,371,281,984/87,315
  6. Step 6: Final answer
    x = 233,307.93

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.