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Finding the Third Proportional to 75,952 and 163,590

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Solution

The third proportional to 75,952 and 163,590 is: 352,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952 : 163,590 = 163,590 : x
  2. Step 2: Convert to fraction form
    75,952/163,590 = 163,590/x
  3. Step 3: Cross multiply
    75,952x = 163,590 × 163,590
  4. Step 4: Simplify right side
    75,952x = 26,761,688,100
  5. Step 5: Solve for x
    x = 26,761,688,100/75,952
  6. Step 6: Final answer
    x = 352,350.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.