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Finding the Third Proportional to 58,368 and 130,344

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Solution

The third proportional to 58,368 and 130,344 is: 291,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,368 : 130,344 = 130,344 : x
  2. Step 2: Convert to fraction form
    58,368/130,344 = 130,344/x
  3. Step 3: Cross multiply
    58,368x = 130,344 × 130,344
  4. Step 4: Simplify right side
    58,368x = 16,989,558,336
  5. Step 5: Solve for x
    x = 16,989,558,336/58,368
  6. Step 6: Final answer
    x = 291,076.59

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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.