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Finding the Third Proportional to 32,088 and 70,376

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Solution

The third proportional to 32,088 and 70,376 is: 154,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,088 : 70,376 = 70,376 : x
  2. Step 2: Convert to fraction form
    32,088/70,376 = 70,376/x
  3. Step 3: Cross multiply
    32,088x = 70,376 × 70,376
  4. Step 4: Simplify right side
    32,088x = 4,952,781,376
  5. Step 5: Solve for x
    x = 4,952,781,376/32,088
  6. Step 6: Final answer
    x = 154,349.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.