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Finding the Third Proportional to 61,476 and 88,848

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Solution

The third proportional to 61,476 and 88,848 is: 128,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,476 : 88,848 = 88,848 : x
  2. Step 2: Convert to fraction form
    61,476/88,848 = 88,848/x
  3. Step 3: Cross multiply
    61,476x = 88,848 × 88,848
  4. Step 4: Simplify right side
    61,476x = 7,893,967,104
  5. Step 5: Solve for x
    x = 7,893,967,104/61,476
  6. Step 6: Final answer
    x = 128,407.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.