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Finding the Third Proportional to 115,295 and 147,319

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Solution

The third proportional to 115,295 and 147,319 is: 188,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,295 : 147,319 = 147,319 : x
  2. Step 2: Convert to fraction form
    115,295/147,319 = 147,319/x
  3. Step 3: Cross multiply
    115,295x = 147,319 × 147,319
  4. Step 4: Simplify right side
    115,295x = 21,702,887,761
  5. Step 5: Solve for x
    x = 21,702,887,761/115,295
  6. Step 6: Final answer
    x = 188,237.89

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.