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Finding the Third Proportional to 61,618 and 88,050

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Solution

The third proportional to 61,618 and 88,050 is: 125,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,618 : 88,050 = 88,050 : x
  2. Step 2: Convert to fraction form
    61,618/88,050 = 88,050/x
  3. Step 3: Cross multiply
    61,618x = 88,050 × 88,050
  4. Step 4: Simplify right side
    61,618x = 7,752,802,500
  5. Step 5: Solve for x
    x = 7,752,802,500/61,618
  6. Step 6: Final answer
    x = 125,820.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.