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Finding the Third Proportional to 91,551 and 130,668

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Solution

The third proportional to 91,551 and 130,668 is: 186,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,551 : 130,668 = 130,668 : x
  2. Step 2: Convert to fraction form
    91,551/130,668 = 130,668/x
  3. Step 3: Cross multiply
    91,551x = 130,668 × 130,668
  4. Step 4: Simplify right side
    91,551x = 17,074,126,224
  5. Step 5: Solve for x
    x = 17,074,126,224/91,551
  6. Step 6: Final answer
    x = 186,498.52

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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.