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Finding the Third Proportional to 42,547 and 90,886

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Solution

The third proportional to 42,547 and 90,886 is: 194,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,547 : 90,886 = 90,886 : x
  2. Step 2: Convert to fraction form
    42,547/90,886 = 90,886/x
  3. Step 3: Cross multiply
    42,547x = 90,886 × 90,886
  4. Step 4: Simplify right side
    42,547x = 8,260,264,996
  5. Step 5: Solve for x
    x = 8,260,264,996/42,547
  6. Step 6: Final answer
    x = 194,144.48

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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.