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Finding the Third Proportional to 125,502 and 276,276

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Solution

The third proportional to 125,502 and 276,276 is: 608,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,502 : 276,276 = 276,276 : x
  2. Step 2: Convert to fraction form
    125,502/276,276 = 276,276/x
  3. Step 3: Cross multiply
    125,502x = 276,276 × 276,276
  4. Step 4: Simplify right side
    125,502x = 76,328,428,176
  5. Step 5: Solve for x
    x = 76,328,428,176/125,502
  6. Step 6: Final answer
    x = 608,184.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.