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Finding the Third Proportional to 61,380 and 97,040

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Solution

The third proportional to 61,380 and 97,040 is: 153,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,380 : 97,040 = 97,040 : x
  2. Step 2: Convert to fraction form
    61,380/97,040 = 97,040/x
  3. Step 3: Cross multiply
    61,380x = 97,040 × 97,040
  4. Step 4: Simplify right side
    61,380x = 9,416,761,600
  5. Step 5: Solve for x
    x = 9,416,761,600/61,380
  6. Step 6: Final answer
    x = 153,417.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.