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Finding the Third Proportional to 58,356 and 130,320

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Solution

The third proportional to 58,356 and 130,320 is: 291,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,356 : 130,320 = 130,320 : x
  2. Step 2: Convert to fraction form
    58,356/130,320 = 130,320/x
  3. Step 3: Cross multiply
    58,356x = 130,320 × 130,320
  4. Step 4: Simplify right side
    58,356x = 16,983,302,400
  5. Step 5: Solve for x
    x = 16,983,302,400/58,356
  6. Step 6: Final answer
    x = 291,029.24

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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.