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Finding the Third Proportional to 64,510.50 and 94,868

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Solution

The third proportional to 64,510.50 and 94,868 is: 139,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,510.50 : 94,868 = 94,868 : x
  2. Step 2: Convert to fraction form
    64,510.50/94,868 = 94,868/x
  3. Step 3: Cross multiply
    64,510.50x = 94,868 × 94,868
  4. Step 4: Simplify right side
    64,510.50x = 8,999,937,424
  5. Step 5: Solve for x
    x = 8,999,937,424/64,510.50
  6. Step 6: Final answer
    x = 139,511.20

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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.