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Finding the Third Proportional to 59,565 and 129,808.50

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Solution

The third proportional to 59,565 and 129,808.50 is: 282,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,565 : 129,808.50 = 129,808.50 : x
  2. Step 2: Convert to fraction form
    59,565/129,808.50 = 129,808.50/x
  3. Step 3: Cross multiply
    59,565x = 129,808.50 × 129,808.50
  4. Step 4: Simplify right side
    59,565x = 16,850,246,672.25
  5. Step 5: Solve for x
    x = 16,850,246,672.25/59,565
  6. Step 6: Final answer
    x = 282,888.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.