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Finding the Third Proportional to 66,148 and 99,236

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Solution

The third proportional to 66,148 and 99,236 is: 148,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,148 : 99,236 = 99,236 : x
  2. Step 2: Convert to fraction form
    66,148/99,236 = 99,236/x
  3. Step 3: Cross multiply
    66,148x = 99,236 × 99,236
  4. Step 4: Simplify right side
    66,148x = 9,847,783,696
  5. Step 5: Solve for x
    x = 9,847,783,696/66,148
  6. Step 6: Final answer
    x = 148,875.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.