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Finding the Third Proportional to 97,192 and 145,280

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Solution

The third proportional to 97,192 and 145,280 is: 217,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,192 : 145,280 = 145,280 : x
  2. Step 2: Convert to fraction form
    97,192/145,280 = 145,280/x
  3. Step 3: Cross multiply
    97,192x = 145,280 × 145,280
  4. Step 4: Simplify right side
    97,192x = 21,106,278,400
  5. Step 5: Solve for x
    x = 21,106,278,400/97,192
  6. Step 6: Final answer
    x = 217,160.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.