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Finding the Third Proportional to 61,428 and 86,994

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Solution

The third proportional to 61,428 and 86,994 is: 123,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,428 : 86,994 = 86,994 : x
  2. Step 2: Convert to fraction form
    61,428/86,994 = 86,994/x
  3. Step 3: Cross multiply
    61,428x = 86,994 × 86,994
  4. Step 4: Simplify right side
    61,428x = 7,567,956,036
  5. Step 5: Solve for x
    x = 7,567,956,036/61,428
  6. Step 6: Final answer
    x = 123,200.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.