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Finding the Third Proportional to 42,312 and 98,886

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Solution

The third proportional to 42,312 and 98,886 is: 231,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,312 : 98,886 = 98,886 : x
  2. Step 2: Convert to fraction form
    42,312/98,886 = 98,886/x
  3. Step 3: Cross multiply
    42,312x = 98,886 × 98,886
  4. Step 4: Simplify right side
    42,312x = 9,778,440,996
  5. Step 5: Solve for x
    x = 9,778,440,996/42,312
  6. Step 6: Final answer
    x = 231,103.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.