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Finding the Third Proportional to 61,076 and 131,386

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Solution

The third proportional to 61,076 and 131,386 is: 282,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,076 : 131,386 = 131,386 : x
  2. Step 2: Convert to fraction form
    61,076/131,386 = 131,386/x
  3. Step 3: Cross multiply
    61,076x = 131,386 × 131,386
  4. Step 4: Simplify right side
    61,076x = 17,262,280,996
  5. Step 5: Solve for x
    x = 17,262,280,996/61,076
  6. Step 6: Final answer
    x = 282,636.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.