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Finding the Third Proportional to 75,358.50 and 162,547.50

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Solution

The third proportional to 75,358.50 and 162,547.50 is: 350,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,358.50 : 162,547.50 = 162,547.50 : x
  2. Step 2: Convert to fraction form
    75,358.50/162,547.50 = 162,547.50/x
  3. Step 3: Cross multiply
    75,358.50x = 162,547.50 × 162,547.50
  4. Step 4: Simplify right side
    75,358.50x = 26,421,689,756.25
  5. Step 5: Solve for x
    x = 26,421,689,756.25/75,358.50
  6. Step 6: Final answer
    x = 350,613.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.