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Finding the Third Proportional to 64,470 and 95,490

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Solution

The third proportional to 64,470 and 95,490 is: 141,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,470 : 95,490 = 95,490 : x
  2. Step 2: Convert to fraction form
    64,470/95,490 = 95,490/x
  3. Step 3: Cross multiply
    64,470x = 95,490 × 95,490
  4. Step 4: Simplify right side
    64,470x = 9,118,340,100
  5. Step 5: Solve for x
    x = 9,118,340,100/64,470
  6. Step 6: Final answer
    x = 141,435.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.