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Finding the Third Proportional to 95,526 and 147,297

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Solution

The third proportional to 95,526 and 147,297 is: 227,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,526 : 147,297 = 147,297 : x
  2. Step 2: Convert to fraction form
    95,526/147,297 = 147,297/x
  3. Step 3: Cross multiply
    95,526x = 147,297 × 147,297
  4. Step 4: Simplify right side
    95,526x = 21,696,406,209
  5. Step 5: Solve for x
    x = 21,696,406,209/95,526
  6. Step 6: Final answer
    x = 227,125.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.