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Finding the Third Proportional to 78,750 and 121,607

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Solution

The third proportional to 78,750 and 121,607 is: 187,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,750 : 121,607 = 121,607 : x
  2. Step 2: Convert to fraction form
    78,750/121,607 = 121,607/x
  3. Step 3: Cross multiply
    78,750x = 121,607 × 121,607
  4. Step 4: Simplify right side
    78,750x = 14,788,262,449
  5. Step 5: Solve for x
    x = 14,788,262,449/78,750
  6. Step 6: Final answer
    x = 187,787.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.