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Finding the Third Proportional to 99,246 and 148,887

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Solution

The third proportional to 99,246 and 148,887 is: 223,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,246 : 148,887 = 148,887 : x
  2. Step 2: Convert to fraction form
    99,246/148,887 = 148,887/x
  3. Step 3: Cross multiply
    99,246x = 148,887 × 148,887
  4. Step 4: Simplify right side
    99,246x = 22,167,338,769
  5. Step 5: Solve for x
    x = 22,167,338,769/99,246
  6. Step 6: Final answer
    x = 223,357.50

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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.