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Finding the Third Proportional to 42,547 and 93,788

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Solution

The third proportional to 42,547 and 93,788 is: 206,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,547 : 93,788 = 93,788 : x
  2. Step 2: Convert to fraction form
    42,547/93,788 = 93,788/x
  3. Step 3: Cross multiply
    42,547x = 93,788 × 93,788
  4. Step 4: Simplify right side
    42,547x = 8,796,188,944
  5. Step 5: Solve for x
    x = 8,796,188,944/42,547
  6. Step 6: Final answer
    x = 206,740.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.