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Finding the Third Proportional to 59,490 and 89,235

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Solution

The third proportional to 59,490 and 89,235 is: 133,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,490 : 89,235 = 89,235 : x
  2. Step 2: Convert to fraction form
    59,490/89,235 = 89,235/x
  3. Step 3: Cross multiply
    59,490x = 89,235 × 89,235
  4. Step 4: Simplify right side
    59,490x = 7,962,885,225
  5. Step 5: Solve for x
    x = 7,962,885,225/59,490
  6. Step 6: Final answer
    x = 133,852.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.