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Finding the Third Proportional to 42,952 and 93,284

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Solution

The third proportional to 42,952 and 93,284 is: 202,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952 : 93,284 = 93,284 : x
  2. Step 2: Convert to fraction form
    42,952/93,284 = 93,284/x
  3. Step 3: Cross multiply
    42,952x = 93,284 × 93,284
  4. Step 4: Simplify right side
    42,952x = 8,701,904,656
  5. Step 5: Solve for x
    x = 8,701,904,656/42,952
  6. Step 6: Final answer
    x = 202,596.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.