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Finding the Third Proportional to 64,323 and 139,378.50

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Solution

The third proportional to 64,323 and 139,378.50 is: 302,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,323 : 139,378.50 = 139,378.50 : x
  2. Step 2: Convert to fraction form
    64,323/139,378.50 = 139,378.50/x
  3. Step 3: Cross multiply
    64,323x = 139,378.50 × 139,378.50
  4. Step 4: Simplify right side
    64,323x = 19,426,366,262.25
  5. Step 5: Solve for x
    x = 19,426,366,262.25/64,323
  6. Step 6: Final answer
    x = 302,012.75

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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.