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Finding the Third Proportional to 32,080 and 70,352

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Solution

The third proportional to 32,080 and 70,352 is: 154,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080 : 70,352 = 70,352 : x
  2. Step 2: Convert to fraction form
    32,080/70,352 = 70,352/x
  3. Step 3: Cross multiply
    32,080x = 70,352 × 70,352
  4. Step 4: Simplify right side
    32,080x = 4,949,403,904
  5. Step 5: Solve for x
    x = 4,949,403,904/32,080
  6. Step 6: Final answer
    x = 154,283.16

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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.