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Finding the Third Proportional to 61,300.13 and 83,202.19

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Solution

The third proportional to 61,300.13 and 83,202.19 is: 112,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,300.13 : 83,202.19 = 83,202.19 : x
  2. Step 2: Convert to fraction form
    61,300.13/83,202.19 = 83,202.19/x
  3. Step 3: Cross multiply
    61,300.13x = 83,202.19 × 83,202.19
  4. Step 4: Simplify right side
    61,300.13x = 6,922,604,004.79
  5. Step 5: Solve for x
    x = 6,922,604,004.79/61,300.13
  6. Step 6: Final answer
    x = 112,929.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.