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Finding the Third Proportional to 90,210 and 137,253

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Solution

The third proportional to 90,210 and 137,253 is: 208,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,210 : 137,253 = 137,253 : x
  2. Step 2: Convert to fraction form
    90,210/137,253 = 137,253/x
  3. Step 3: Cross multiply
    90,210x = 137,253 × 137,253
  4. Step 4: Simplify right side
    90,210x = 18,838,386,009
  5. Step 5: Solve for x
    x = 18,838,386,009/90,210
  6. Step 6: Final answer
    x = 208,828.13

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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.