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Finding the Third Proportional to 74,053 and 105,822.25

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Solution

The third proportional to 74,053 and 105,822.25 is: 151,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,053 : 105,822.25 = 105,822.25 : x
  2. Step 2: Convert to fraction form
    74,053/105,822.25 = 105,822.25/x
  3. Step 3: Cross multiply
    74,053x = 105,822.25 × 105,822.25
  4. Step 4: Simplify right side
    74,053x = 11,198,348,595.06
  5. Step 5: Solve for x
    x = 11,198,348,595.06/74,053
  6. Step 6: Final answer
    x = 151,220.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.