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Finding the Third Proportional to 123,158 and 265,544

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Solution

The third proportional to 123,158 and 265,544 is: 572,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,158 : 265,544 = 265,544 : x
  2. Step 2: Convert to fraction form
    123,158/265,544 = 265,544/x
  3. Step 3: Cross multiply
    123,158x = 265,544 × 265,544
  4. Step 4: Simplify right side
    123,158x = 70,513,615,936
  5. Step 5: Solve for x
    x = 70,513,615,936/123,158
  6. Step 6: Final answer
    x = 572,545.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.