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Finding the Third Proportional to 64,535.06 and 94,903.31

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Solution

The third proportional to 64,535.06 and 94,903.31 is: 139,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,535.06 : 94,903.31 = 94,903.31 : x
  2. Step 2: Convert to fraction form
    64,535.06/94,903.31 = 94,903.31/x
  3. Step 3: Cross multiply
    64,535.06x = 94,903.31 × 94,903.31
  4. Step 4: Simplify right side
    64,535.06x = 9,006,638,723.47
  5. Step 5: Solve for x
    x = 9,006,638,723.47/64,535.06
  6. Step 6: Final answer
    x = 139,561.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.