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Finding the Third Proportional to 125,570 and 175,987

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Solution

The third proportional to 125,570 and 175,987 is: 246,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,570 : 175,987 = 175,987 : x
  2. Step 2: Convert to fraction form
    125,570/175,987 = 175,987/x
  3. Step 3: Cross multiply
    125,570x = 175,987 × 175,987
  4. Step 4: Simplify right side
    125,570x = 30,971,424,169
  5. Step 5: Solve for x
    x = 30,971,424,169/125,570
  6. Step 6: Final answer
    x = 246,646.68

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Why These Related Problems?

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