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Finding the Third Proportional to 55,998 and 86,707

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Solution

The third proportional to 55,998 and 86,707 is: 134,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,998 : 86,707 = 86,707 : x
  2. Step 2: Convert to fraction form
    55,998/86,707 = 86,707/x
  3. Step 3: Cross multiply
    55,998x = 86,707 × 86,707
  4. Step 4: Simplify right side
    55,998x = 7,518,103,849
  5. Step 5: Solve for x
    x = 7,518,103,849/55,998
  6. Step 6: Final answer
    x = 134,256.65

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1.5x scale

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.