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Finding the Third Proportional to 58,535 and 126,430

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Solution

The third proportional to 58,535 and 126,430 is: 273,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,535 : 126,430 = 126,430 : x
  2. Step 2: Convert to fraction form
    58,535/126,430 = 126,430/x
  3. Step 3: Cross multiply
    58,535x = 126,430 × 126,430
  4. Step 4: Simplify right side
    58,535x = 15,984,544,900
  5. Step 5: Solve for x
    x = 15,984,544,900/58,535
  6. Step 6: Final answer
    x = 273,076.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.