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Finding the Third Proportional to 55,792.50 and 83,688

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Solution

The third proportional to 55,792.50 and 83,688 is: 125,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,792.50 : 83,688 = 83,688 : x
  2. Step 2: Convert to fraction form
    55,792.50/83,688 = 83,688/x
  3. Step 3: Cross multiply
    55,792.50x = 83,688 × 83,688
  4. Step 4: Simplify right side
    55,792.50x = 7,003,681,344
  5. Step 5: Solve for x
    x = 7,003,681,344/55,792.50
  6. Step 6: Final answer
    x = 125,530.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.