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Finding the Third Proportional to 59,119.63 and 89,293

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Solution

The third proportional to 59,119.63 and 89,293 is: 134,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,119.63 : 89,293 = 89,293 : x
  2. Step 2: Convert to fraction form
    59,119.63/89,293 = 89,293/x
  3. Step 3: Cross multiply
    59,119.63x = 89,293 × 89,293
  4. Step 4: Simplify right side
    59,119.63x = 7,973,239,849
  5. Step 5: Solve for x
    x = 7,973,239,849/59,119.63
  6. Step 6: Final answer
    x = 134,866.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.