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Finding the Third Proportional to 137,621 and 193,801.50

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Solution

The third proportional to 137,621 and 193,801.50 is: 272,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,621 : 193,801.50 = 193,801.50 : x
  2. Step 2: Convert to fraction form
    137,621/193,801.50 = 193,801.50/x
  3. Step 3: Cross multiply
    137,621x = 193,801.50 × 193,801.50
  4. Step 4: Simplify right side
    137,621x = 37,559,021,402.25
  5. Step 5: Solve for x
    x = 37,559,021,402.25/137,621
  6. Step 6: Final answer
    x = 272,916.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.