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Finding the Third Proportional to 65,574.56 and 144,927.56

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Solution

The third proportional to 65,574.56 and 144,927.56 is: 320,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,574.56 : 144,927.56 = 144,927.56 : x
  2. Step 2: Convert to fraction form
    65,574.56/144,927.56 = 144,927.56/x
  3. Step 3: Cross multiply
    65,574.56x = 144,927.56 × 144,927.56
  4. Step 4: Simplify right side
    65,574.56x = 21,003,998,372.19
  5. Step 5: Solve for x
    x = 21,003,998,372.19/65,574.56
  6. Step 6: Final answer
    x = 320,307.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.