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Finding the Third Proportional to 58,243 and 124,796

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Solution

The third proportional to 58,243 and 124,796 is: 267,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,243 : 124,796 = 124,796 : x
  2. Step 2: Convert to fraction form
    58,243/124,796 = 124,796/x
  3. Step 3: Cross multiply
    58,243x = 124,796 × 124,796
  4. Step 4: Simplify right side
    58,243x = 15,574,041,616
  5. Step 5: Solve for x
    x = 15,574,041,616/58,243
  6. Step 6: Final answer
    x = 267,397.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.