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Finding the Third Proportional to 91,624 and 130,716

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Solution

The third proportional to 91,624 and 130,716 is: 186,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,624 : 130,716 = 130,716 : x
  2. Step 2: Convert to fraction form
    91,624/130,716 = 130,716/x
  3. Step 3: Cross multiply
    91,624x = 130,716 × 130,716
  4. Step 4: Simplify right side
    91,624x = 17,086,672,656
  5. Step 5: Solve for x
    x = 17,086,672,656/91,624
  6. Step 6: Final answer
    x = 186,486.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.