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Finding the Third Proportional to 58,384 and 130,376

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Solution

The third proportional to 58,384 and 130,376 is: 291,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,384 : 130,376 = 130,376 : x
  2. Step 2: Convert to fraction form
    58,384/130,376 = 130,376/x
  3. Step 3: Cross multiply
    58,384x = 130,376 × 130,376
  4. Step 4: Simplify right side
    58,384x = 16,997,901,376
  5. Step 5: Solve for x
    x = 16,997,901,376/58,384
  6. Step 6: Final answer
    x = 291,139.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.