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Finding the Third Proportional to 65,426.63 and 98,137.13

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Solution

The third proportional to 65,426.63 and 98,137.13 is: 147,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,426.63 : 98,137.13 = 98,137.13 : x
  2. Step 2: Convert to fraction form
    65,426.63/98,137.13 = 98,137.13/x
  3. Step 3: Cross multiply
    65,426.63x = 98,137.13 × 98,137.13
  4. Step 4: Simplify right side
    65,426.63x = 9,630,895,303.27
  5. Step 5: Solve for x
    x = 9,630,895,303.27/65,426.63
  6. Step 6: Final answer
    x = 147,201.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.