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Finding the Third Proportional to 104,041 and 148,681.50

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Solution

The third proportional to 104,041 and 148,681.50 is: 212,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,041 : 148,681.50 = 148,681.50 : x
  2. Step 2: Convert to fraction form
    104,041/148,681.50 = 148,681.50/x
  3. Step 3: Cross multiply
    104,041x = 148,681.50 × 148,681.50
  4. Step 4: Simplify right side
    104,041x = 22,106,188,442.25
  5. Step 5: Solve for x
    x = 22,106,188,442.25/104,041
  6. Step 6: Final answer
    x = 212,475.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.