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Finding the Third Proportional to 91,883 and 147,423

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Solution

The third proportional to 91,883 and 147,423 is: 236,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,883 : 147,423 = 147,423 : x
  2. Step 2: Convert to fraction form
    91,883/147,423 = 147,423/x
  3. Step 3: Cross multiply
    91,883x = 147,423 × 147,423
  4. Step 4: Simplify right side
    91,883x = 21,733,540,929
  5. Step 5: Solve for x
    x = 21,733,540,929/91,883
  6. Step 6: Final answer
    x = 236,534.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.