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Finding the Third Proportional to 58,152 and 129,464

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Solution

The third proportional to 58,152 and 129,464 is: 288,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,152 : 129,464 = 129,464 : x
  2. Step 2: Convert to fraction form
    58,152/129,464 = 129,464/x
  3. Step 3: Cross multiply
    58,152x = 129,464 × 129,464
  4. Step 4: Simplify right side
    58,152x = 16,760,927,296
  5. Step 5: Solve for x
    x = 16,760,927,296/58,152
  6. Step 6: Final answer
    x = 288,226.15

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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.