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Finding the Third Proportional to 61,066 and 97,140

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Solution

The third proportional to 61,066 and 97,140 is: 154,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,066 : 97,140 = 97,140 : x
  2. Step 2: Convert to fraction form
    61,066/97,140 = 97,140/x
  3. Step 3: Cross multiply
    61,066x = 97,140 × 97,140
  4. Step 4: Simplify right side
    61,066x = 9,436,179,600
  5. Step 5: Solve for x
    x = 9,436,179,600/61,066
  6. Step 6: Final answer
    x = 154,524.28

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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.