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Finding the Third Proportional to 52,719 and 84,316.50

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Solution

The third proportional to 52,719 and 84,316.50 is: 134,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,719 : 84,316.50 = 84,316.50 : x
  2. Step 2: Convert to fraction form
    52,719/84,316.50 = 84,316.50/x
  3. Step 3: Cross multiply
    52,719x = 84,316.50 × 84,316.50
  4. Step 4: Simplify right side
    52,719x = 7,109,272,172.25
  5. Step 5: Solve for x
    x = 7,109,272,172.25/52,719
  6. Step 6: Final answer
    x = 134,852.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.