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Finding the Third Proportional to 61,180 and 97,342

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Solution

The third proportional to 61,180 and 97,342 is: 154,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,180 : 97,342 = 97,342 : x
  2. Step 2: Convert to fraction form
    61,180/97,342 = 97,342/x
  3. Step 3: Cross multiply
    61,180x = 97,342 × 97,342
  4. Step 4: Simplify right side
    61,180x = 9,475,464,964
  5. Step 5: Solve for x
    x = 9,475,464,964/61,180
  6. Step 6: Final answer
    x = 154,878.47

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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.