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Finding the Third Proportional to 61,944 and 94,776

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Solution

The third proportional to 61,944 and 94,776 is: 145,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,944 : 94,776 = 94,776 : x
  2. Step 2: Convert to fraction form
    61,944/94,776 = 94,776/x
  3. Step 3: Cross multiply
    61,944x = 94,776 × 94,776
  4. Step 4: Simplify right side
    61,944x = 8,982,490,176
  5. Step 5: Solve for x
    x = 8,982,490,176/61,944
  6. Step 6: Final answer
    x = 145,009.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.