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Finding the Third Proportional to 64,939.50 and 139,572

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Solution

The third proportional to 64,939.50 and 139,572 is: 299,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,939.50 : 139,572 = 139,572 : x
  2. Step 2: Convert to fraction form
    64,939.50/139,572 = 139,572/x
  3. Step 3: Cross multiply
    64,939.50x = 139,572 × 139,572
  4. Step 4: Simplify right side
    64,939.50x = 19,480,343,184
  5. Step 5: Solve for x
    x = 19,480,343,184/64,939.50
  6. Step 6: Final answer
    x = 299,976.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.