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Finding the Third Proportional to 58,209 and 124,050

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Solution

The third proportional to 58,209 and 124,050 is: 264,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,209 : 124,050 = 124,050 : x
  2. Step 2: Convert to fraction form
    58,209/124,050 = 124,050/x
  3. Step 3: Cross multiply
    58,209x = 124,050 × 124,050
  4. Step 4: Simplify right side
    58,209x = 15,388,402,500
  5. Step 5: Solve for x
    x = 15,388,402,500/58,209
  6. Step 6: Final answer
    x = 264,364.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.