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Finding the Third Proportional to 103,572 and 159,934.50

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Solution

The third proportional to 103,572 and 159,934.50 is: 246,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,572 : 159,934.50 = 159,934.50 : x
  2. Step 2: Convert to fraction form
    103,572/159,934.50 = 159,934.50/x
  3. Step 3: Cross multiply
    103,572x = 159,934.50 × 159,934.50
  4. Step 4: Simplify right side
    103,572x = 25,579,044,290.25
  5. Step 5: Solve for x
    x = 25,579,044,290.25/103,572
  6. Step 6: Final answer
    x = 246,968.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.