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Finding the Third Proportional to 49,998 and 70,318.50

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Solution

The third proportional to 49,998 and 70,318.50 is: 98,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,998 : 70,318.50 = 70,318.50 : x
  2. Step 2: Convert to fraction form
    49,998/70,318.50 = 70,318.50/x
  3. Step 3: Cross multiply
    49,998x = 70,318.50 × 70,318.50
  4. Step 4: Simplify right side
    49,998x = 4,944,691,442.25
  5. Step 5: Solve for x
    x = 4,944,691,442.25/49,998
  6. Step 6: Final answer
    x = 98,897.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.