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Finding the Third Proportional to 61,646 and 88,088

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Solution

The third proportional to 61,646 and 88,088 is: 125,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,646 : 88,088 = 88,088 : x
  2. Step 2: Convert to fraction form
    61,646/88,088 = 88,088/x
  3. Step 3: Cross multiply
    61,646x = 88,088 × 88,088
  4. Step 4: Simplify right side
    61,646x = 7,759,495,744
  5. Step 5: Solve for x
    x = 7,759,495,744/61,646
  6. Step 6: Final answer
    x = 125,871.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.