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Finding the Third Proportional to 60,643.69 and 129,602.53

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Solution

The third proportional to 60,643.69 and 129,602.53 is: 276,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,643.69 : 129,602.53 = 129,602.53 : x
  2. Step 2: Convert to fraction form
    60,643.69/129,602.53 = 129,602.53/x
  3. Step 3: Cross multiply
    60,643.69x = 129,602.53 × 129,602.53
  4. Step 4: Simplify right side
    60,643.69x = 16,796,816,106.41
  5. Step 5: Solve for x
    x = 16,796,816,106.41/60,643.69
  6. Step 6: Final answer
    x = 276,975.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.