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Finding the Third Proportional to 90,621 and 137,929.50

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Solution

The third proportional to 90,621 and 137,929.50 is: 209,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,621 : 137,929.50 = 137,929.50 : x
  2. Step 2: Convert to fraction form
    90,621/137,929.50 = 137,929.50/x
  3. Step 3: Cross multiply
    90,621x = 137,929.50 × 137,929.50
  4. Step 4: Simplify right side
    90,621x = 19,024,546,970.25
  5. Step 5: Solve for x
    x = 19,024,546,970.25/90,621
  6. Step 6: Final answer
    x = 209,935.30

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