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Finding the Third Proportional to 97,128 and 147,718

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Solution

The third proportional to 97,128 and 147,718 is: 224,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,128 : 147,718 = 147,718 : x
  2. Step 2: Convert to fraction form
    97,128/147,718 = 147,718/x
  3. Step 3: Cross multiply
    97,128x = 147,718 × 147,718
  4. Step 4: Simplify right side
    97,128x = 21,820,607,524
  5. Step 5: Solve for x
    x = 21,820,607,524/97,128
  6. Step 6: Final answer
    x = 224,658.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.