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Finding the Third Proportional to 125,535 and 175,586

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Solution

The third proportional to 125,535 and 175,586 is: 245,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,535 : 175,586 = 175,586 : x
  2. Step 2: Convert to fraction form
    125,535/175,586 = 175,586/x
  3. Step 3: Cross multiply
    125,535x = 175,586 × 175,586
  4. Step 4: Simplify right side
    125,535x = 30,830,443,396
  5. Step 5: Solve for x
    x = 30,830,443,396/125,535
  6. Step 6: Final answer
    x = 245,592.41

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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.