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Finding the Third Proportional to 58,437 and 124,155

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Solution

The third proportional to 58,437 and 124,155 is: 263,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,437 : 124,155 = 124,155 : x
  2. Step 2: Convert to fraction form
    58,437/124,155 = 124,155/x
  3. Step 3: Cross multiply
    58,437x = 124,155 × 124,155
  4. Step 4: Simplify right side
    58,437x = 15,414,464,025
  5. Step 5: Solve for x
    x = 15,414,464,025/58,437
  6. Step 6: Final answer
    x = 263,779.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.