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Finding the Third Proportional to 64,507 and 97,734

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Solution

The third proportional to 64,507 and 97,734 is: 148,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,507 : 97,734 = 97,734 : x
  2. Step 2: Convert to fraction form
    64,507/97,734 = 97,734/x
  3. Step 3: Cross multiply
    64,507x = 97,734 × 97,734
  4. Step 4: Simplify right side
    64,507x = 9,551,934,756
  5. Step 5: Solve for x
    x = 9,551,934,756/64,507
  6. Step 6: Final answer
    x = 148,075.94

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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.