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Finding the Third Proportional to 64,588.50 and 94,969.13

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Solution

The third proportional to 64,588.50 and 94,969.13 is: 139,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,588.50 : 94,969.13 = 94,969.13 : x
  2. Step 2: Convert to fraction form
    64,588.50/94,969.13 = 94,969.13/x
  3. Step 3: Cross multiply
    64,588.50x = 94,969.13 × 94,969.13
  4. Step 4: Simplify right side
    64,588.50x = 9,019,134,703.27
  5. Step 5: Solve for x
    x = 9,019,134,703.27/64,588.50
  6. Step 6: Final answer
    x = 139,639.95

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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.