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Finding the Third Proportional to 60,762.66 and 83,440.13

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Solution

The third proportional to 60,762.66 and 83,440.13 is: 114,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,762.66 : 83,440.13 = 83,440.13 : x
  2. Step 2: Convert to fraction form
    60,762.66/83,440.13 = 83,440.13/x
  3. Step 3: Cross multiply
    60,762.66x = 83,440.13 × 83,440.13
  4. Step 4: Simplify right side
    60,762.66x = 6,962,254,460.02
  5. Step 5: Solve for x
    x = 6,962,254,460.02/60,762.66
  6. Step 6: Final answer
    x = 114,581.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.