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Finding the Third Proportional to 58,416 and 124,124

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Solution

The third proportional to 58,416 and 124,124 is: 263,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,416 : 124,124 = 124,124 : x
  2. Step 2: Convert to fraction form
    58,416/124,124 = 124,124/x
  3. Step 3: Cross multiply
    58,416x = 124,124 × 124,124
  4. Step 4: Simplify right side
    58,416x = 15,406,767,376
  5. Step 5: Solve for x
    x = 15,406,767,376/58,416
  6. Step 6: Final answer
    x = 263,742.25

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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.