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Finding the Third Proportional to 120,565.13 and 257,117.63

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Solution

The third proportional to 120,565.13 and 257,117.63 is: 548,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,565.13 : 257,117.63 = 257,117.63 : x
  2. Step 2: Convert to fraction form
    120,565.13/257,117.63 = 257,117.63/x
  3. Step 3: Cross multiply
    120,565.13x = 257,117.63 × 257,117.63
  4. Step 4: Simplify right side
    120,565.13x = 66,109,473,085.64
  5. Step 5: Solve for x
    x = 66,109,473,085.64/120,565.13
  6. Step 6: Final answer
    x = 548,329.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.