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Finding the Third Proportional to 72,349.50 and 112,014

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Solution

The third proportional to 72,349.50 and 112,014 is: 173,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,349.50 : 112,014 = 112,014 : x
  2. Step 2: Convert to fraction form
    72,349.50/112,014 = 112,014/x
  3. Step 3: Cross multiply
    72,349.50x = 112,014 × 112,014
  4. Step 4: Simplify right side
    72,349.50x = 12,547,136,196
  5. Step 5: Solve for x
    x = 12,547,136,196/72,349.50
  6. Step 6: Final answer
    x = 173,423.95

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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.