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Finding the Third Proportional to 59,354.25 and 125,330.25

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Solution

The third proportional to 59,354.25 and 125,330.25 is: 264,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,354.25 : 125,330.25 = 125,330.25 : x
  2. Step 2: Convert to fraction form
    59,354.25/125,330.25 = 125,330.25/x
  3. Step 3: Cross multiply
    59,354.25x = 125,330.25 × 125,330.25
  4. Step 4: Simplify right side
    59,354.25x = 15,707,671,565.06
  5. Step 5: Solve for x
    x = 15,707,671,565.06/59,354.25
  6. Step 6: Final answer
    x = 264,642.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.