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Finding the Third Proportional to 80,547 and 172,758

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Solution

The third proportional to 80,547 and 172,758 is: 370,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,547 : 172,758 = 172,758 : x
  2. Step 2: Convert to fraction form
    80,547/172,758 = 172,758/x
  3. Step 3: Cross multiply
    80,547x = 172,758 × 172,758
  4. Step 4: Simplify right side
    80,547x = 29,845,326,564
  5. Step 5: Solve for x
    x = 29,845,326,564/80,547
  6. Step 6: Final answer
    x = 370,533.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.