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Finding the Third Proportional to 61,288 and 89,276

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Solution

The third proportional to 61,288 and 89,276 is: 130,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,288 : 89,276 = 89,276 : x
  2. Step 2: Convert to fraction form
    61,288/89,276 = 89,276/x
  3. Step 3: Cross multiply
    61,288x = 89,276 × 89,276
  4. Step 4: Simplify right side
    61,288x = 7,970,204,176
  5. Step 5: Solve for x
    x = 7,970,204,176/61,288
  6. Step 6: Final answer
    x = 130,045.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.