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Finding the Third Proportional to 88,047 and 129,883.50

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Solution

The third proportional to 88,047 and 129,883.50 is: 191,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,047 : 129,883.50 = 129,883.50 : x
  2. Step 2: Convert to fraction form
    88,047/129,883.50 = 129,883.50/x
  3. Step 3: Cross multiply
    88,047x = 129,883.50 × 129,883.50
  4. Step 4: Simplify right side
    88,047x = 16,869,723,572.25
  5. Step 5: Solve for x
    x = 16,869,723,572.25/88,047
  6. Step 6: Final answer
    x = 191,599.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.