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Finding the Third Proportional to 97,004 and 149,826

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Solution

The third proportional to 97,004 and 149,826 is: 231,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,004 : 149,826 = 149,826 : x
  2. Step 2: Convert to fraction form
    97,004/149,826 = 149,826/x
  3. Step 3: Cross multiply
    97,004x = 149,826 × 149,826
  4. Step 4: Simplify right side
    97,004x = 22,447,830,276
  5. Step 5: Solve for x
    x = 22,447,830,276/97,004
  6. Step 6: Final answer
    x = 231,411.39

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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.