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Finding the Third Proportional to 97,242 and 158,784

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Solution

The third proportional to 97,242 and 158,784 is: 259,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,242 : 158,784 = 158,784 : x
  2. Step 2: Convert to fraction form
    97,242/158,784 = 158,784/x
  3. Step 3: Cross multiply
    97,242x = 158,784 × 158,784
  4. Step 4: Simplify right side
    97,242x = 25,212,358,656
  5. Step 5: Solve for x
    x = 25,212,358,656/97,242
  6. Step 6: Final answer
    x = 259,274.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.