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Finding the Third Proportional to 69,688.50 and 110,748

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Solution

The third proportional to 69,688.50 and 110,748 is: 175,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,688.50 : 110,748 = 110,748 : x
  2. Step 2: Convert to fraction form
    69,688.50/110,748 = 110,748/x
  3. Step 3: Cross multiply
    69,688.50x = 110,748 × 110,748
  4. Step 4: Simplify right side
    69,688.50x = 12,265,119,504
  5. Step 5: Solve for x
    x = 12,265,119,504/69,688.50
  6. Step 6: Final answer
    x = 175,999.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.