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Finding the Third Proportional to 121,146 and 255,522

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Solution

The third proportional to 121,146 and 255,522 is: 538,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146 : 255,522 = 255,522 : x
  2. Step 2: Convert to fraction form
    121,146/255,522 = 255,522/x
  3. Step 3: Cross multiply
    121,146x = 255,522 × 255,522
  4. Step 4: Simplify right side
    121,146x = 65,291,492,484
  5. Step 5: Solve for x
    x = 65,291,492,484/121,146
  6. Step 6: Final answer
    x = 538,948.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.