Finding the Third Proportional to 97,518 and 145,633.50
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Solution
The third proportional to 97,518 and 145,633.50 is: 217,489.25
Step by Step Solution
- Step 1: Write the proportion equation
97,518 : 145,633.50 = 145,633.50 : x - Step 2: Convert to fraction form
97,518/145,633.50 = 145,633.50/x - Step 3: Cross multiply
97,518x = 145,633.50 × 145,633.50 - Step 4: Simplify right side
97,518x = 21,209,116,322.25 - Step 5: Solve for x
x = 21,209,116,322.25/97,518 - Step 6: Final answer
x = 217,489.25
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.