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Finding the Third Proportional to 64,798.50 and 101,430

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Solution

The third proportional to 64,798.50 and 101,430 is: 158,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,798.50 : 101,430 = 101,430 : x
  2. Step 2: Convert to fraction form
    64,798.50/101,430 = 101,430/x
  3. Step 3: Cross multiply
    64,798.50x = 101,430 × 101,430
  4. Step 4: Simplify right side
    64,798.50x = 10,288,044,900
  5. Step 5: Solve for x
    x = 10,288,044,900/64,798.50
  6. Step 6: Final answer
    x = 158,769.80

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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.