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Finding the Third Proportional to 76,443.19 and 112,417.88

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Solution

The third proportional to 76,443.19 and 112,417.88 is: 165,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443.19 : 112,417.88 = 112,417.88 : x
  2. Step 2: Convert to fraction form
    76,443.19/112,417.88 = 112,417.88/x
  3. Step 3: Cross multiply
    76,443.19x = 112,417.88 × 112,417.88
  4. Step 4: Simplify right side
    76,443.19x = 12,637,778,619.52
  5. Step 5: Solve for x
    x = 12,637,778,619.52/76,443.19
  6. Step 6: Final answer
    x = 165,322.50

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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.