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Finding the Third Proportional to 97,052 and 148,168

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Solution

The third proportional to 97,052 and 148,168 is: 226,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,052 : 148,168 = 148,168 : x
  2. Step 2: Convert to fraction form
    97,052/148,168 = 148,168/x
  3. Step 3: Cross multiply
    97,052x = 148,168 × 148,168
  4. Step 4: Simplify right side
    97,052x = 21,953,756,224
  5. Step 5: Solve for x
    x = 21,953,756,224/97,052
  6. Step 6: Final answer
    x = 226,206.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.