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Finding the Third Proportional to 48,998 and 75,707

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Solution

The third proportional to 48,998 and 75,707 is: 116,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,998 : 75,707 = 75,707 : x
  2. Step 2: Convert to fraction form
    48,998/75,707 = 75,707/x
  3. Step 3: Cross multiply
    48,998x = 75,707 × 75,707
  4. Step 4: Simplify right side
    48,998x = 5,731,549,849
  5. Step 5: Solve for x
    x = 5,731,549,849/48,998
  6. Step 6: Final answer
    x = 116,975.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.