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Finding the Third Proportional to 125,587.13 and 175,665.94

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Solution

The third proportional to 125,587.13 and 175,665.94 is: 245,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,587.13 : 175,665.94 = 175,665.94 : x
  2. Step 2: Convert to fraction form
    125,587.13/175,665.94 = 175,665.94/x
  3. Step 3: Cross multiply
    125,587.13x = 175,665.94 × 175,665.94
  4. Step 4: Simplify right side
    125,587.13x = 30,858,521,597.75
  5. Step 5: Solve for x
    x = 30,858,521,597.75/125,587.13
  6. Step 6: Final answer
    x = 245,714.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.