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Finding the Third Proportional to 58,323 and 127,581

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Solution

The third proportional to 58,323 and 127,581 is: 279,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,323 : 127,581 = 127,581 : x
  2. Step 2: Convert to fraction form
    58,323/127,581 = 127,581/x
  3. Step 3: Cross multiply
    58,323x = 127,581 × 127,581
  4. Step 4: Simplify right side
    58,323x = 16,276,911,561
  5. Step 5: Solve for x
    x = 16,276,911,561/58,323
  6. Step 6: Final answer
    x = 279,082.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.