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Finding the Third Proportional to 64,798 and 101,429

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Solution

The third proportional to 64,798 and 101,429 is: 158,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,798 : 101,429 = 101,429 : x
  2. Step 2: Convert to fraction form
    64,798/101,429 = 101,429/x
  3. Step 3: Cross multiply
    64,798x = 101,429 × 101,429
  4. Step 4: Simplify right side
    64,798x = 10,287,842,041
  5. Step 5: Solve for x
    x = 10,287,842,041/64,798
  6. Step 6: Final answer
    x = 158,767.89

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