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Finding the Third Proportional to 125,588 and 176,012

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Solution

The third proportional to 125,588 and 176,012 is: 246,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,588 : 176,012 = 176,012 : x
  2. Step 2: Convert to fraction form
    125,588/176,012 = 176,012/x
  3. Step 3: Cross multiply
    125,588x = 176,012 × 176,012
  4. Step 4: Simplify right side
    125,588x = 30,980,224,144
  5. Step 5: Solve for x
    x = 30,980,224,144/125,588
  6. Step 6: Final answer
    x = 246,681.40

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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.