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Finding the Third Proportional to 78,705.50 and 88,547

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Solution

The third proportional to 78,705.50 and 88,547 is: 99,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,705.50 : 88,547 = 88,547 : x
  2. Step 2: Convert to fraction form
    78,705.50/88,547 = 88,547/x
  3. Step 3: Cross multiply
    78,705.50x = 88,547 × 88,547
  4. Step 4: Simplify right side
    78,705.50x = 7,840,571,209
  5. Step 5: Solve for x
    x = 7,840,571,209/78,705.50
  6. Step 6: Final answer
    x = 99,619.10

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.