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Finding the Third Proportional to 124,430 and 191,253

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Solution

The third proportional to 124,430 and 191,253 is: 293,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,430 : 191,253 = 191,253 : x
  2. Step 2: Convert to fraction form
    124,430/191,253 = 191,253/x
  3. Step 3: Cross multiply
    124,430x = 191,253 × 191,253
  4. Step 4: Simplify right side
    124,430x = 36,577,710,009
  5. Step 5: Solve for x
    x = 36,577,710,009/124,430
  6. Step 6: Final answer
    x = 293,962.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.