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Finding the Third Proportional to 64,155 and 93,883.50

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Solution

The third proportional to 64,155 and 93,883.50 is: 137,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,155 : 93,883.50 = 93,883.50 : x
  2. Step 2: Convert to fraction form
    64,155/93,883.50 = 93,883.50/x
  3. Step 3: Cross multiply
    64,155x = 93,883.50 × 93,883.50
  4. Step 4: Simplify right side
    64,155x = 8,814,111,572.25
  5. Step 5: Solve for x
    x = 8,814,111,572.25/64,155
  6. Step 6: Final answer
    x = 137,387.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.