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Finding the Third Proportional to 64,315 and 139,362.50

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Solution

The third proportional to 64,315 and 139,362.50 is: 301,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,315 : 139,362.50 = 139,362.50 : x
  2. Step 2: Convert to fraction form
    64,315/139,362.50 = 139,362.50/x
  3. Step 3: Cross multiply
    64,315x = 139,362.50 × 139,362.50
  4. Step 4: Simplify right side
    64,315x = 19,421,906,406.25
  5. Step 5: Solve for x
    x = 19,421,906,406.25/64,315
  6. Step 6: Final answer
    x = 301,980.97

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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.