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Finding the Third Proportional to 105,788 and 145,060

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Solution

The third proportional to 105,788 and 145,060 is: 198,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,788 : 145,060 = 145,060 : x
  2. Step 2: Convert to fraction form
    105,788/145,060 = 145,060/x
  3. Step 3: Cross multiply
    105,788x = 145,060 × 145,060
  4. Step 4: Simplify right side
    105,788x = 21,042,403,600
  5. Step 5: Solve for x
    x = 21,042,403,600/105,788
  6. Step 6: Final answer
    x = 198,911.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.