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Finding the Third Proportional to 109,053 and 233,883

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Solution

The third proportional to 109,053 and 233,883 is: 501,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,053 : 233,883 = 233,883 : x
  2. Step 2: Convert to fraction form
    109,053/233,883 = 233,883/x
  3. Step 3: Cross multiply
    109,053x = 233,883 × 233,883
  4. Step 4: Simplify right side
    109,053x = 54,701,257,689
  5. Step 5: Solve for x
    x = 54,701,257,689/109,053
  6. Step 6: Final answer
    x = 501,602.50

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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.