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Finding the Third Proportional to 76,148 and 112,014

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Solution

The third proportional to 76,148 and 112,014 is: 164,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148 : 112,014 = 112,014 : x
  2. Step 2: Convert to fraction form
    76,148/112,014 = 112,014/x
  3. Step 3: Cross multiply
    76,148x = 112,014 × 112,014
  4. Step 4: Simplify right side
    76,148x = 12,547,136,196
  5. Step 5: Solve for x
    x = 12,547,136,196/76,148
  6. Step 6: Final answer
    x = 164,773.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.