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Finding the Third Proportional to 125,514 and 175,555.69

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Solution

The third proportional to 125,514 and 175,555.69 is: 245,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514 : 175,555.69 = 175,555.69 : x
  2. Step 2: Convert to fraction form
    125,514/175,555.69 = 175,555.69/x
  3. Step 3: Cross multiply
    125,514x = 175,555.69 × 175,555.69
  4. Step 4: Simplify right side
    125,514x = 30,819,799,413.60
  5. Step 5: Solve for x
    x = 30,819,799,413.60/125,514
  6. Step 6: Final answer
    x = 245,548.70

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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.