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Finding the Third Proportional to 66,248 and 98,470

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Solution

The third proportional to 66,248 and 98,470 is: 146,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,248 : 98,470 = 98,470 : x
  2. Step 2: Convert to fraction form
    66,248/98,470 = 98,470/x
  3. Step 3: Cross multiply
    66,248x = 98,470 × 98,470
  4. Step 4: Simplify right side
    66,248x = 9,696,340,900
  5. Step 5: Solve for x
    x = 9,696,340,900/66,248
  6. Step 6: Final answer
    x = 146,364.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.