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Finding the Third Proportional to 61,076 and 97,151

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Solution

The third proportional to 61,076 and 97,151 is: 154,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,076 : 97,151 = 97,151 : x
  2. Step 2: Convert to fraction form
    61,076/97,151 = 97,151/x
  3. Step 3: Cross multiply
    61,076x = 97,151 × 97,151
  4. Step 4: Simplify right side
    61,076x = 9,438,316,801
  5. Step 5: Solve for x
    x = 9,438,316,801/61,076
  6. Step 6: Final answer
    x = 154,533.97

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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.