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Finding the Third Proportional to 69,530.63 and 161,752.50

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Solution

The third proportional to 69,530.63 and 161,752.50 is: 376,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,530.63 : 161,752.50 = 161,752.50 : x
  2. Step 2: Convert to fraction form
    69,530.63/161,752.50 = 161,752.50/x
  3. Step 3: Cross multiply
    69,530.63x = 161,752.50 × 161,752.50
  4. Step 4: Simplify right side
    69,530.63x = 26,163,871,256.25
  5. Step 5: Solve for x
    x = 26,163,871,256.25/69,530.63
  6. Step 6: Final answer
    x = 376,292.77

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.