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Finding the Third Proportional to 103,681 and 160,849.50

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Solution

The third proportional to 103,681 and 160,849.50 is: 249,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 160,849.50 = 160,849.50 : x
  2. Step 2: Convert to fraction form
    103,681/160,849.50 = 160,849.50/x
  3. Step 3: Cross multiply
    103,681x = 160,849.50 × 160,849.50
  4. Step 4: Simplify right side
    103,681x = 25,872,561,650.25
  5. Step 5: Solve for x
    x = 25,872,561,650.25/103,681
  6. Step 6: Final answer
    x = 249,540.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.