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Finding the Third Proportional to 64,596 and 94,639.50

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Solution

The third proportional to 64,596 and 94,639.50 is: 138,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,596 : 94,639.50 = 94,639.50 : x
  2. Step 2: Convert to fraction form
    64,596/94,639.50 = 94,639.50/x
  3. Step 3: Cross multiply
    64,596x = 94,639.50 × 94,639.50
  4. Step 4: Simplify right side
    64,596x = 8,956,634,960.25
  5. Step 5: Solve for x
    x = 8,956,634,960.25/64,596
  6. Step 6: Final answer
    x = 138,656.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.