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Finding the Third Proportional to 70,117 and 94,477.50

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Solution

The third proportional to 70,117 and 94,477.50 is: 127,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,117 : 94,477.50 = 94,477.50 : x
  2. Step 2: Convert to fraction form
    70,117/94,477.50 = 94,477.50/x
  3. Step 3: Cross multiply
    70,117x = 94,477.50 × 94,477.50
  4. Step 4: Simplify right side
    70,117x = 8,925,998,006.25
  5. Step 5: Solve for x
    x = 8,925,998,006.25/70,117
  6. Step 6: Final answer
    x = 127,301.48

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.