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Finding the Third Proportional to 76,528 and 162,319

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Solution

The third proportional to 76,528 and 162,319 is: 344,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,528 : 162,319 = 162,319 : x
  2. Step 2: Convert to fraction form
    76,528/162,319 = 162,319/x
  3. Step 3: Cross multiply
    76,528x = 162,319 × 162,319
  4. Step 4: Simplify right side
    76,528x = 26,347,457,761
  5. Step 5: Solve for x
    x = 26,347,457,761/76,528
  6. Step 6: Final answer
    x = 344,285.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.