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Finding the Third Proportional to 78,187.50 and 152,487

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Solution

The third proportional to 78,187.50 and 152,487 is: 297,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,187.50 : 152,487 = 152,487 : x
  2. Step 2: Convert to fraction form
    78,187.50/152,487 = 152,487/x
  3. Step 3: Cross multiply
    78,187.50x = 152,487 × 152,487
  4. Step 4: Simplify right side
    78,187.50x = 23,252,285,169
  5. Step 5: Solve for x
    x = 23,252,285,169/78,187.50
  6. Step 6: Final answer
    x = 297,391.34

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.