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Finding the Third Proportional to 90,220 and 137,454

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Solution

The third proportional to 90,220 and 137,454 is: 209,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,220 : 137,454 = 137,454 : x
  2. Step 2: Convert to fraction form
    90,220/137,454 = 137,454/x
  3. Step 3: Cross multiply
    90,220x = 137,454 × 137,454
  4. Step 4: Simplify right side
    90,220x = 18,893,602,116
  5. Step 5: Solve for x
    x = 18,893,602,116/90,220
  6. Step 6: Final answer
    x = 209,417.00

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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.