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Finding the Third Proportional to 98,897.50 and 157,236

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Solution

The third proportional to 98,897.50 and 157,236 is: 249,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,897.50 : 157,236 = 157,236 : x
  2. Step 2: Convert to fraction form
    98,897.50/157,236 = 157,236/x
  3. Step 3: Cross multiply
    98,897.50x = 157,236 × 157,236
  4. Step 4: Simplify right side
    98,897.50x = 24,723,159,696
  5. Step 5: Solve for x
    x = 24,723,159,696/98,897.50
  6. Step 6: Final answer
    x = 249,987.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.