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Finding the Third Proportional to 100,475 and 136,461

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Solution

The third proportional to 100,475 and 136,461 is: 185,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,475 : 136,461 = 136,461 : x
  2. Step 2: Convert to fraction form
    100,475/136,461 = 136,461/x
  3. Step 3: Cross multiply
    100,475x = 136,461 × 136,461
  4. Step 4: Simplify right side
    100,475x = 18,621,604,521
  5. Step 5: Solve for x
    x = 18,621,604,521/100,475
  6. Step 6: Final answer
    x = 185,335.70

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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.