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Finding the Third Proportional to 82,275.75 and 122,875.31

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Solution

The third proportional to 82,275.75 and 122,875.31 is: 183,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,275.75 : 122,875.31 = 122,875.31 : x
  2. Step 2: Convert to fraction form
    82,275.75/122,875.31 = 122,875.31/x
  3. Step 3: Cross multiply
    82,275.75x = 122,875.31 × 122,875.31
  4. Step 4: Simplify right side
    82,275.75x = 15,098,342,421.97
  5. Step 5: Solve for x
    x = 15,098,342,421.97/82,275.75
  6. Step 6: Final answer
    x = 183,509.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.