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Finding the Third Proportional to 64,520 and 97,752

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Solution

The third proportional to 64,520 and 97,752 is: 148,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,520 : 97,752 = 97,752 : x
  2. Step 2: Convert to fraction form
    64,520/97,752 = 97,752/x
  3. Step 3: Cross multiply
    64,520x = 97,752 × 97,752
  4. Step 4: Simplify right side
    64,520x = 9,555,453,504
  5. Step 5: Solve for x
    x = 9,555,453,504/64,520
  6. Step 6: Final answer
    x = 148,100.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.