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Finding the Third Proportional to 64,783.13 and 98,182.13

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Solution

The third proportional to 64,783.13 and 98,182.13 is: 148,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,783.13 : 98,182.13 = 98,182.13 : x
  2. Step 2: Convert to fraction form
    64,783.13/98,182.13 = 98,182.13/x
  3. Step 3: Cross multiply
    64,783.13x = 98,182.13 × 98,182.13
  4. Step 4: Simplify right side
    64,783.13x = 9,639,729,669.52
  5. Step 5: Solve for x
    x = 9,639,729,669.52/64,783.13
  6. Step 6: Final answer
    x = 148,800.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.