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Finding the Third Proportional to 55,994 and 86,709

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Solution

The third proportional to 55,994 and 86,709 is: 134,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,994 : 86,709 = 86,709 : x
  2. Step 2: Convert to fraction form
    55,994/86,709 = 86,709/x
  3. Step 3: Cross multiply
    55,994x = 86,709 × 86,709
  4. Step 4: Simplify right side
    55,994x = 7,518,450,681
  5. Step 5: Solve for x
    x = 7,518,450,681/55,994
  6. Step 6: Final answer
    x = 134,272.43

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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.