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Finding the Third Proportional to 137,597 and 183,482.50

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Solution

The third proportional to 137,597 and 183,482.50 is: 244,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,597 : 183,482.50 = 183,482.50 : x
  2. Step 2: Convert to fraction form
    137,597/183,482.50 = 183,482.50/x
  3. Step 3: Cross multiply
    137,597x = 183,482.50 × 183,482.50
  4. Step 4: Simplify right side
    137,597x = 33,665,827,806.25
  5. Step 5: Solve for x
    x = 33,665,827,806.25/137,597
  6. Step 6: Final answer
    x = 244,669.78

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.