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Finding the Third Proportional to 61,064 and 97,138

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Solution

The third proportional to 61,064 and 97,138 is: 154,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,064 : 97,138 = 97,138 : x
  2. Step 2: Convert to fraction form
    61,064/97,138 = 97,138/x
  3. Step 3: Cross multiply
    61,064x = 97,138 × 97,138
  4. Step 4: Simplify right side
    61,064x = 9,435,791,044
  5. Step 5: Solve for x
    x = 9,435,791,044/61,064
  6. Step 6: Final answer
    x = 154,522.98

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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.