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Finding the Third Proportional to 64,804 and 101,526

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Solution

The third proportional to 64,804 and 101,526 is: 159,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,804 : 101,526 = 101,526 : x
  2. Step 2: Convert to fraction form
    64,804/101,526 = 101,526/x
  3. Step 3: Cross multiply
    64,804x = 101,526 × 101,526
  4. Step 4: Simplify right side
    64,804x = 10,307,528,676
  5. Step 5: Solve for x
    x = 10,307,528,676/64,804
  6. Step 6: Final answer
    x = 159,056.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.