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Finding the Third Proportional to 42,430 and 83,788

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Solution

The third proportional to 42,430 and 83,788 is: 165,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,430 : 83,788 = 83,788 : x
  2. Step 2: Convert to fraction form
    42,430/83,788 = 83,788/x
  3. Step 3: Cross multiply
    42,430x = 83,788 × 83,788
  4. Step 4: Simplify right side
    42,430x = 7,020,428,944
  5. Step 5: Solve for x
    x = 7,020,428,944/42,430
  6. Step 6: Final answer
    x = 165,459.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.