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Finding the Third Proportional to 59,210 and 90,030

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Solution

The third proportional to 59,210 and 90,030 is: 136,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,210 : 90,030 = 90,030 : x
  2. Step 2: Convert to fraction form
    59,210/90,030 = 90,030/x
  3. Step 3: Cross multiply
    59,210x = 90,030 × 90,030
  4. Step 4: Simplify right side
    59,210x = 8,105,400,900
  5. Step 5: Solve for x
    x = 8,105,400,900/59,210
  6. Step 6: Final answer
    x = 136,892.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.