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Finding the Third Proportional to 64,312 and 98,898

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Solution

The third proportional to 64,312 and 98,898 is: 152,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,312 : 98,898 = 98,898 : x
  2. Step 2: Convert to fraction form
    64,312/98,898 = 98,898/x
  3. Step 3: Cross multiply
    64,312x = 98,898 × 98,898
  4. Step 4: Simplify right side
    64,312x = 9,780,814,404
  5. Step 5: Solve for x
    x = 9,780,814,404/64,312
  6. Step 6: Final answer
    x = 152,083.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.