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Finding the Third Proportional to 97,470 and 155,076

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Solution

The third proportional to 97,470 and 155,076 is: 246,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470 : 155,076 = 155,076 : x
  2. Step 2: Convert to fraction form
    97,470/155,076 = 155,076/x
  3. Step 3: Cross multiply
    97,470x = 155,076 × 155,076
  4. Step 4: Simplify right side
    97,470x = 24,048,565,776
  5. Step 5: Solve for x
    x = 24,048,565,776/97,470
  6. Step 6: Final answer
    x = 246,727.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.