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Finding the Third Proportional to 76,522 and 102,633

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Solution

The third proportional to 76,522 and 102,633 is: 137,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,522 : 102,633 = 102,633 : x
  2. Step 2: Convert to fraction form
    76,522/102,633 = 102,633/x
  3. Step 3: Cross multiply
    76,522x = 102,633 × 102,633
  4. Step 4: Simplify right side
    76,522x = 10,533,532,689
  5. Step 5: Solve for x
    x = 10,533,532,689/76,522
  6. Step 6: Final answer
    x = 137,653.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.