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Finding the Third Proportional to 73,091 and 159,709

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Solution

The third proportional to 73,091 and 159,709 is: 348,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,091 : 159,709 = 159,709 : x
  2. Step 2: Convert to fraction form
    73,091/159,709 = 159,709/x
  3. Step 3: Cross multiply
    73,091x = 159,709 × 159,709
  4. Step 4: Simplify right side
    73,091x = 25,506,964,681
  5. Step 5: Solve for x
    x = 25,506,964,681/73,091
  6. Step 6: Final answer
    x = 348,975.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.