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Finding the Third Proportional to 89,439 and 121,036.50

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Solution

The third proportional to 89,439 and 121,036.50 is: 163,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,439 : 121,036.50 = 121,036.50 : x
  2. Step 2: Convert to fraction form
    89,439/121,036.50 = 121,036.50/x
  3. Step 3: Cross multiply
    89,439x = 121,036.50 × 121,036.50
  4. Step 4: Simplify right side
    89,439x = 14,649,834,332.25
  5. Step 5: Solve for x
    x = 14,649,834,332.25/89,439
  6. Step 6: Final answer
    x = 163,796.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.