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Finding the Third Proportional to 125,730 and 170,853.75

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Solution

The third proportional to 125,730 and 170,853.75 is: 232,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,730 : 170,853.75 = 170,853.75 : x
  2. Step 2: Convert to fraction form
    125,730/170,853.75 = 170,853.75/x
  3. Step 3: Cross multiply
    125,730x = 170,853.75 × 170,853.75
  4. Step 4: Simplify right side
    125,730x = 29,191,003,889.06
  5. Step 5: Solve for x
    x = 29,191,003,889.06/125,730
  6. Step 6: Final answer
    x = 232,172.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.