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Finding the Third Proportional to 55,810 and 83,715

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Solution

The third proportional to 55,810 and 83,715 is: 125,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,810 : 83,715 = 83,715 : x
  2. Step 2: Convert to fraction form
    55,810/83,715 = 83,715/x
  3. Step 3: Cross multiply
    55,810x = 83,715 × 83,715
  4. Step 4: Simplify right side
    55,810x = 7,008,201,225
  5. Step 5: Solve for x
    x = 7,008,201,225/55,810
  6. Step 6: Final answer
    x = 125,572.50

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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.