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Finding the Third Proportional to 101,178 and 148,486.50

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Solution

The third proportional to 101,178 and 148,486.50 is: 217,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178 : 148,486.50 = 148,486.50 : x
  2. Step 2: Convert to fraction form
    101,178/148,486.50 = 148,486.50/x
  3. Step 3: Cross multiply
    101,178x = 148,486.50 × 148,486.50
  4. Step 4: Simplify right side
    101,178x = 22,048,240,682.25
  5. Step 5: Solve for x
    x = 22,048,240,682.25/101,178
  6. Step 6: Final answer
    x = 217,915.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.