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Finding the Third Proportional to 55,209 and 87,459

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Solution

The third proportional to 55,209 and 87,459 is: 138,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,209 : 87,459 = 87,459 : x
  2. Step 2: Convert to fraction form
    55,209/87,459 = 87,459/x
  3. Step 3: Cross multiply
    55,209x = 87,459 × 87,459
  4. Step 4: Simplify right side
    55,209x = 7,649,076,681
  5. Step 5: Solve for x
    x = 7,649,076,681/55,209
  6. Step 6: Final answer
    x = 138,547.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.