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Finding the Third Proportional to 135,090 and 312,711.75

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Solution

The third proportional to 135,090 and 312,711.75 is: 723,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,090 : 312,711.75 = 312,711.75 : x
  2. Step 2: Convert to fraction form
    135,090/312,711.75 = 312,711.75/x
  3. Step 3: Cross multiply
    135,090x = 312,711.75 × 312,711.75
  4. Step 4: Simplify right side
    135,090x = 97,788,638,588.06
  5. Step 5: Solve for x
    x = 97,788,638,588.06/135,090
  6. Step 6: Final answer
    x = 723,877.70

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.