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Finding the Third Proportional to 91,912 and 147,466

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Solution

The third proportional to 91,912 and 147,466 is: 236,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,912 : 147,466 = 147,466 : x
  2. Step 2: Convert to fraction form
    91,912/147,466 = 147,466/x
  3. Step 3: Cross multiply
    91,912x = 147,466 × 147,466
  4. Step 4: Simplify right side
    91,912x = 21,746,221,156
  5. Step 5: Solve for x
    x = 21,746,221,156/91,912
  6. Step 6: Final answer
    x = 236,598.28

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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.