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Finding the Third Proportional to 72,459 and 154,547.50

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Solution

The third proportional to 72,459 and 154,547.50 is: 329,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,459 : 154,547.50 = 154,547.50 : x
  2. Step 2: Convert to fraction form
    72,459/154,547.50 = 154,547.50/x
  3. Step 3: Cross multiply
    72,459x = 154,547.50 × 154,547.50
  4. Step 4: Simplify right side
    72,459x = 23,884,929,756.25
  5. Step 5: Solve for x
    x = 23,884,929,756.25/72,459
  6. Step 6: Final answer
    x = 329,633.72

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.