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Finding the Third Proportional to 59,025 and 89,031.50

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Solution

The third proportional to 59,025 and 89,031.50 is: 134,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,025 : 89,031.50 = 89,031.50 : x
  2. Step 2: Convert to fraction form
    59,025/89,031.50 = 89,031.50/x
  3. Step 3: Cross multiply
    59,025x = 89,031.50 × 89,031.50
  4. Step 4: Simplify right side
    59,025x = 7,926,607,992.25
  5. Step 5: Solve for x
    x = 7,926,607,992.25/59,025
  6. Step 6: Final answer
    x = 134,292.38

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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.