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Finding the Third Proportional to 61,678 and 97,569

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Solution

The third proportional to 61,678 and 97,569 is: 154,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678 : 97,569 = 97,569 : x
  2. Step 2: Convert to fraction form
    61,678/97,569 = 97,569/x
  3. Step 3: Cross multiply
    61,678x = 97,569 × 97,569
  4. Step 4: Simplify right side
    61,678x = 9,519,709,761
  5. Step 5: Solve for x
    x = 9,519,709,761/61,678
  6. Step 6: Final answer
    x = 154,345.31

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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.