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Finding the Third Proportional to 124,312 and 186,468

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Solution

The third proportional to 124,312 and 186,468 is: 279,702

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,312 : 186,468 = 186,468 : x
  2. Step 2: Convert to fraction form
    124,312/186,468 = 186,468/x
  3. Step 3: Cross multiply
    124,312x = 186,468 × 186,468
  4. Step 4: Simplify right side
    124,312x = 34,770,315,024
  5. Step 5: Solve for x
    x = 34,770,315,024/124,312
  6. Step 6: Final answer
    x = 279,702

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.