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Finding the Third Proportional to 77,510.67 and 116,266.64

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Solution

The third proportional to 77,510.67 and 116,266.64 is: 174,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,510.67 : 116,266.64 = 116,266.64 : x
  2. Step 2: Convert to fraction form
    77,510.67/116,266.64 = 116,266.64/x
  3. Step 3: Cross multiply
    77,510.67x = 116,266.64 × 116,266.64
  4. Step 4: Simplify right side
    77,510.67x = 13,517,931,722.22
  5. Step 5: Solve for x
    x = 13,517,931,722.22/77,510.67
  6. Step 6: Final answer
    x = 174,400.91

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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.