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Finding the Third Proportional to 68,623.50 and 109,587

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Solution

The third proportional to 68,623.50 and 109,587 is: 175,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,623.50 : 109,587 = 109,587 : x
  2. Step 2: Convert to fraction form
    68,623.50/109,587 = 109,587/x
  3. Step 3: Cross multiply
    68,623.50x = 109,587 × 109,587
  4. Step 4: Simplify right side
    68,623.50x = 12,009,310,569
  5. Step 5: Solve for x
    x = 12,009,310,569/68,623.50
  6. Step 6: Final answer
    x = 175,002.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.