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Finding the Third Proportional to 64,742.63 and 98,465.63

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Solution

The third proportional to 64,742.63 and 98,465.63 is: 149,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742.63 : 98,465.63 = 98,465.63 : x
  2. Step 2: Convert to fraction form
    64,742.63/98,465.63 = 98,465.63/x
  3. Step 3: Cross multiply
    64,742.63x = 98,465.63 × 98,465.63
  4. Step 4: Simplify right side
    64,742.63x = 9,695,479,306.64
  5. Step 5: Solve for x
    x = 9,695,479,306.64/64,742.63
  6. Step 6: Final answer
    x = 149,754.19

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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.