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Finding the Third Proportional to 73,360 and 152,460

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Solution

The third proportional to 73,360 and 152,460 is: 316,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,360 : 152,460 = 152,460 : x
  2. Step 2: Convert to fraction form
    73,360/152,460 = 152,460/x
  3. Step 3: Cross multiply
    73,360x = 152,460 × 152,460
  4. Step 4: Simplify right side
    73,360x = 23,244,051,600
  5. Step 5: Solve for x
    x = 23,244,051,600/73,360
  6. Step 6: Final answer
    x = 316,849.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.