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Finding the Third Proportional to 64,306.50 and 139,345.50

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Solution

The third proportional to 64,306.50 and 139,345.50 is: 301,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,306.50 : 139,345.50 = 139,345.50 : x
  2. Step 2: Convert to fraction form
    64,306.50/139,345.50 = 139,345.50/x
  3. Step 3: Cross multiply
    64,306.50x = 139,345.50 × 139,345.50
  4. Step 4: Simplify right side
    64,306.50x = 19,417,168,370.25
  5. Step 5: Solve for x
    x = 19,417,168,370.25/64,306.50
  6. Step 6: Final answer
    x = 301,947.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.