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Finding the Third Proportional to 76,050 and 114,309

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Solution

The third proportional to 76,050 and 114,309 is: 171,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050 : 114,309 = 114,309 : x
  2. Step 2: Convert to fraction form
    76,050/114,309 = 114,309/x
  3. Step 3: Cross multiply
    76,050x = 114,309 × 114,309
  4. Step 4: Simplify right side
    76,050x = 13,066,547,481
  5. Step 5: Solve for x
    x = 13,066,547,481/76,050
  6. Step 6: Final answer
    x = 171,815.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.