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Finding the Third Proportional to 59,603.63 and 83,539.69

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Solution

The third proportional to 59,603.63 and 83,539.69 is: 117,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,603.63 : 83,539.69 = 83,539.69 : x
  2. Step 2: Convert to fraction form
    59,603.63/83,539.69 = 83,539.69/x
  3. Step 3: Cross multiply
    59,603.63x = 83,539.69 × 83,539.69
  4. Step 4: Simplify right side
    59,603.63x = 6,978,879,387.60
  5. Step 5: Solve for x
    x = 6,978,879,387.60/59,603.63
  6. Step 6: Final answer
    x = 117,088.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.