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Finding the Third Proportional to 79,312 and 116,776

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Solution

The third proportional to 79,312 and 116,776 is: 171,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,312 : 116,776 = 116,776 : x
  2. Step 2: Convert to fraction form
    79,312/116,776 = 116,776/x
  3. Step 3: Cross multiply
    79,312x = 116,776 × 116,776
  4. Step 4: Simplify right side
    79,312x = 13,636,634,176
  5. Step 5: Solve for x
    x = 13,636,634,176/79,312
  6. Step 6: Final answer
    x = 171,936.58

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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.