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Finding the Third Proportional to 61,722 and 83,440.13

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Solution

The third proportional to 61,722 and 83,440.13 is: 112,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722 : 83,440.13 = 83,440.13 : x
  2. Step 2: Convert to fraction form
    61,722/83,440.13 = 83,440.13/x
  3. Step 3: Cross multiply
    61,722x = 83,440.13 × 83,440.13
  4. Step 4: Simplify right side
    61,722x = 6,962,254,460.02
  5. Step 5: Solve for x
    x = 6,962,254,460.02/61,722
  6. Step 6: Final answer
    x = 112,800.21

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.