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Finding the Third Proportional to 59,094 and 88,641

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Solution

The third proportional to 59,094 and 88,641 is: 132,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,094 : 88,641 = 88,641 : x
  2. Step 2: Convert to fraction form
    59,094/88,641 = 88,641/x
  3. Step 3: Cross multiply
    59,094x = 88,641 × 88,641
  4. Step 4: Simplify right side
    59,094x = 7,857,226,881
  5. Step 5: Solve for x
    x = 7,857,226,881/59,094
  6. Step 6: Final answer
    x = 132,961.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.