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Finding the Third Proportional to 67,012.50 and 139,536

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Solution

The third proportional to 67,012.50 and 139,536 is: 290,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,012.50 : 139,536 = 139,536 : x
  2. Step 2: Convert to fraction form
    67,012.50/139,536 = 139,536/x
  3. Step 3: Cross multiply
    67,012.50x = 139,536 × 139,536
  4. Step 4: Simplify right side
    67,012.50x = 19,470,295,296
  5. Step 5: Solve for x
    x = 19,470,295,296/67,012.50
  6. Step 6: Final answer
    x = 290,547.22

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.