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Finding the Third Proportional to 58,287 and 124,572

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Solution

The third proportional to 58,287 and 124,572 is: 266,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,287 : 124,572 = 124,572 : x
  2. Step 2: Convert to fraction form
    58,287/124,572 = 124,572/x
  3. Step 3: Cross multiply
    58,287x = 124,572 × 124,572
  4. Step 4: Simplify right side
    58,287x = 15,518,183,184
  5. Step 5: Solve for x
    x = 15,518,183,184/58,287
  6. Step 6: Final answer
    x = 266,237.47

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Why These Related Problems?

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